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arxiv: 1508.05305 · v3 · pith:H2DXO64Znew · submitted 2015-08-21 · 🧮 math.AP

On the Gevrey well-posedness of the Kirchhoff equation

classification 🧮 math.AP
keywords domainsequationgevreykirchhoffalmostboundaryboundedcauchy
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This paper is devoted to proving the almost global solvability of the Cauchy problem for the Kirchhoff equation in the Gevrey space $\gamma^s_{\eta,L^2}$. Furthermore, similar results are obtained for the initial-boundary value problems in bounded domains and in exterior domains with compact boundary.

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